A nut moves 5/64 inches for each turn Find the number of turns is will take for the nut to move 1 7/8 inches.

(5/64) * (15/8) = ?

(5/64)x = 15/8 = 120/64

x = 120/5

A 40

​-inch
board

is cut into two pieces. One piece is three

times the length of the other. Find the lengths of the two pieces.

To find the number of turns it will take for the nut to move 1 7/8 inches, we need to divide the total distance by the distance moved in one turn.

Given that the nut moves 5/64 inches for each turn, let's convert 1 7/8 inches into an improper fraction.

1 7/8 inches is equivalent to (8 * 1) + 7 = 15/8 inches.

Now, we can calculate the number of turns:

Number of turns = Total distance / Distance moved in one turn.
= (15/8) / (5/64).

To divide fractions, we multiply the first fraction (numerator) by the reciprocal of the second fraction (denominator).

Number of turns = (15/8) * (64/5).

Now, we can simplify the expression:

Number of turns = (15 * 64) / (8 * 5).
= 960 / 40.
= 24.

Therefore, it will take 24 turns for the nut to move 1 7/8 inches.